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Finding the Fourth Proportional to 1,300.92, 1,791.50 and 907.26

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Solution

The fourth proportional to 1,300.92, 1,791.50 and 907.26 is: 1,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.92 : 1,791.50 = 907.26 : x
  2. Step 2: Convert to fraction form
    1,300.92/1,791.50 = 907.26/x
  3. Step 3: Cross multiply
    1,300.92x = 1,791.50 × 907.26
  4. Step 4: Simplify right side
    1,300.92x = 1,625,351.75
  5. Step 5: Solve for x
    x = 1,625,351.75/1,300.92
  6. Step 6: Final answer
    x = 1,249.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.